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On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method

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Baskonus H. M., Bulut H.

Open Mathematics

2015

tom 13

nr 1

In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations. Then, we construct a table including numerical results for both fractional differential equations. Then, we draw two dimensional surfaces of numerical solutions and analytical solutions by considering the suitable values of parameters. Finally, we use the L2 nodal norm and L∞ maximum nodal norm to evaluate the accuracy of method used in this paper.

Ograniczanie wyników

1 Open Mathematics

1 Baskonus H. M.

1 Bulut H.

1 2015

Wyniki wyszukiwania

On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method